Buffer-gas cooling of a single ion in a multipole radio frequency trap beyond the critical mass ratio

Abstract

We theoretically investigate the dynamics of a trapped ion immersed in a spatially localized buffer gas. For a homogeneous buffer gas, the ion reaches a stable equilibrium only if the mass ratio of the buffer gas atom to the ion is below a critical value. We show how this limitation can be overcome by using multipole traps and a spatially confined buffer gas. Using a generalized model for elastic collisions of the ion with the buffer gas atoms, the ion's energy distribution is derived for arbitrary buffer gas distributions and trap parameters. Three regimes characterized by the analytical form of the ion's energy distribution are found. Final ion temperatures down to the millikelvin regime can be achieved even for heavy buffer gases by actively controlling the size of the buffer gas or the trap voltage (forced sympathetic cooling).

References in corpus (6)

• A trapped single ion inside a Bose-Einstein condensate
• Power-Law Distributions for a Trapped Ion Interacting with a Classical Buffer Gas
• A new method for producing ultracold molecular ions
• A far-off-resonance optical trap for a Ba${}^{+}$ ion
• Kinetics of a single trapped ion in an ultracold buffer gas
• Reactive collisions of trapped anions with ultracold atoms

Cited by in corpus (37)

• Cold hybrid ion-atom systems
• Dynamics of a ground-state cooled ion colliding with ultra-cold atoms
• Observation of Feshbach resonances between a single ion and ultracold atoms
• Buffer gas cooling of a trapped ion to the quantum regime
• Superstatistical energy distributions of an ion in an ultracold buffer gas
• Observation of collisions between cold Li atoms and Yb${}^{+}$ ions
• Optical Traps for sympathetic Cooling of Ions with ultracold neutral Atoms
• Controlled long-range interactions between Rydberg atoms and ions
• Incomplete rotational cooling in a 22-pole ion trap
• Dynamics of a single ion spin impurity in a spin-polarized atomic bath
• Prospects of reaching the quantum regime in Li-Yb${}^{+}$ mixtures
• Cooling dynamics of a single trapped ion via elastic collisions with small-mass atoms
• Trapped ions in Rydberg-dressed atomic gases
• Experimental apparatus for overlapping a ground-state cooled ion with ultracold atoms
• Direct observation of atom-ion non-equilibrium sympathetic cooling
• Ab initio electronic structure and prospects for the formation of ultracold calcium--alkali-metal-atom molecular ions
• Collisional cooling of light ions by co-trapped heavy atoms
• Cooling of trapped ions by resonant charge exchange
• Confinement-Induced Resonances in Ultracold Atom-Ion Systems
• Controlling the nature of a charged impurity in a bath of Feshbach dimers
• Effect of ion-trap parameters on energy distributions of ultra-cold atom-ion mixtures
• Dynamics of a single trapped ion immersed in a buffer gas
• Spectroscopy and ion thermometry of C${}_2^{-}$ using laser-cooling transitions
• Buffer gas cooling of ions in time-dependent traps using ultracold atoms
• Cold reactive and non-reactive collisions of Li and Rb with C${}_2^{-}$: implications for hybrid trap experiments
• Ultracold ion-atom experiments: cooling, chemistry, and quantum effects
• Operation of a Microfabricated Planar Ion-Trap for Studies of a Yb${}^{+}$-Rb Hybrid Quantum System
• Experimental setup for studying an ultracold mixture of trapped Yb${}^{+}$-${}^6$Li
• Energy distributions of an ion in a radiofrequency trap immersed in a buffer gas under the influence of additional external forces
• Charge transfer in ultracold gases via Feshbach resonances
• Minimizing rf-induced excess micromotion of a trapped ion with the help of ultracold atoms
• Exploring atom-ion Feshbach resonances below the s-wave limit
• Interactions and charge transfer dynamics of an Al${}^{+}$ ion immersed in ultracold Rb and Sr atoms
• Cold collisions of C${}_2^{-}$ anions with Li and Rb atoms in hybrid traps
• Reactivity of hydrated hydroxide anion cluster OH(H${}_2$O)${}_n^{-}$ with H and Rb: an ab initio study
• The energy distribution of an ion in a radiofrequency trap interacting with a nonuniform neutral buffer gas
• Ion-kinetic-energy sampling in a 22-pole trap using ring-electrode evaporation